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Triangle read by rows: A007318^(-1) * A132812.
1

%I #8 Jun 01 2023 15:37:43

%S 1,1,2,0,5,3,0,3,15,4,0,0,22,34,5,0,0,10,90,65,6,0,0,0,95,270,111,7,0,

%T 0,0,35,490,665,175,8,0,0,0,0,406,1820,1428,260,9,0,0,0,0,126,2520,

%U 5460,2772,369,10,0,0,0,0,0,1722,11130,14070,4980,505,11,0,0,0,0,0,462,12474,39270,32340,8415,671,12

%N Triangle read by rows: A007318^(-1) * A132812.

%C Row sums = A025566 starting (1, 3, 8, 22, 61, 171, 483, ...).

%F Inverse binomial transform of A132812.

%F Matrix product A130595 * A132812. - _Georg Fischer_, Jun 01 2023

%e First few rows of the triangle:

%e 1;

%e 1, 2;

%e 0, 5, 3;

%e 0, 3, 15, 4;

%e 0, 0, 22, 34, 5;

%e 0, 0, 10, 90, 65, 6;

%e 0, 0, 0, 95, 270, 111, 7;

%e ...

%Y Cf. A007318, A025566, A130595, A132812.

%K nonn,tabl

%O 0,3

%A _Gary W. Adamson_, Sep 01 2007

%E a(52) corrected and more terms from _Georg Fischer_, Jun 01 2023